Question

Zoe went out to her garden and cut 19 roses from the first rose bush, 28 roses from the second rose bush, 37 roses from the third rose bush, and 46 roses from the fourth rose bush. What kind of sequence is this?

Answer 1

Based on the given scenario, the kind of sequence explained is an arithmetic sequence

Sequence

• First bush = 19 roses
• Second bush = 28 roses
• Third bush = 37 roses
• Fourth bush = 46

First term, a = 19

Second term, a + d

28 = 19 + d

28 - 19 = d

9 = d

• Common difference, d = 9

Third term, a + 2d

= 19 + 2(9)

= 19 + 18

= 37

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